bad brake line, weak return spring, bad caliper or wheel cyl.
There is no certain link between a car being a stick shift and what kind of brakes it has.
A couple things can cause the rear brakes to stick. An frozen emergency brake cable can hold the brakes in the on position and keep the springs from retracting the brake shoes to the anchor pin. An axle seal can go bad and allow rear end gear lube to leak into the rear brakes and soak the brake shoes with gear lube. A wheel cylinder can freeze up and cause them to drag. There's a couple things for you to check.
Parking brakes stick if left applied in cold weather
You have drum brakes on the rear.
( 1 ) on each of the rear drum brakes
Drum brakes.
front front - rear rear.
disc brakes - front and rear
LS6 Chevelles had rear disc-brakes
The front and rear brakes are both made of ceramic. i bought front and rear brakes on eBay for $80 total.
On a Ford Explorer : 1991 to 1994 model years have ( drum brakes on the rear ) 1995 and newer models have ( disc brakes on the rear )
Front brakes have significantly more stopping power than rear brakes.